Datrys 4m-(2m+3)(3m-5)=49-(6m-1)(m-2)

$$4 m - ( 2 m + 3 ) ( 3 m - 5 ) = 49 - ( 6 m - 1 ) ( m - 2 )$$

Datrys ar gyfer m

$$m=-4$$

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi 2m+3 â 3m-5 a chyfuno termau tebyg.

$$4m-\left(6m^{2}-m-15\right)=49-\left(6m-1\right)\left(m-2\right)$$

I ddod o hyd i wrthwyneb 6m^{2}-m-15, dewch o hyd i wrthwyneb pob term.

$$4m-6m^{2}+m+15=49-\left(6m-1\right)\left(m-2\right)$$

Cyfuno 4m a m i gael 5m.

$$5m-6m^{2}+15=49-\left(6m-1\right)\left(m-2\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 6m-1 â m-2 a chyfuno termau tebyg.

$$5m-6m^{2}+15=49-\left(6m^{2}-13m+2\right)$$

I ddod o hyd i wrthwyneb 6m^{2}-13m+2, dewch o hyd i wrthwyneb pob term.

$$5m-6m^{2}+15=49-6m^{2}+13m-2$$

Tynnu 2 o 49 i gael 47.

$$5m-6m^{2}+15=47-6m^{2}+13m$$

Ychwanegu 6m^{2} at y ddwy ochr.

$$5m-6m^{2}+15+6m^{2}=47+13m$$

Cyfuno -6m^{2} a 6m^{2} i gael 0.

$$5m+15=47+13m$$

Tynnu 13m o'r ddwy ochr.

$$5m+15-13m=47$$

Cyfuno 5m a -13m i gael -8m.

$$-8m+15=47$$

Tynnu 15 o'r ddwy ochr.

$$-8m=47-15$$

Tynnu 15 o 47 i gael 32.

$$-8m=32$$

Rhannu’r ddwy ochr â -8.

$$m=\frac{32}{-8}$$

Rhannu 32 â -8 i gael -4.

$$m=-4$$